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Finding the Fourth Proportional to 114,165, 171,248.04 and 40,293

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Solution

The fourth proportional to 114,165, 171,248.04 and 40,293 is: 60,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165 : 171,248.04 = 40,293 : x
  2. Step 2: Convert to fraction form
    114,165/171,248.04 = 40,293/x
  3. Step 3: Cross multiply
    114,165x = 171,248.04 × 40,293
  4. Step 4: Simplify right side
    114,165x = 6,900,097,275.72
  5. Step 5: Solve for x
    x = 6,900,097,275.72/114,165
  6. Step 6: Final answer
    x = 60,439.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.